Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 21, Problem 35Q
To determine
Why the time interval between pulses from pulsar is large when the stars are close and the time interval is small when it is far away. Also, explain how it is related to gravitational slowing of time. Given that distance between two neutron stars in a binary system discovered by Hulse and Taylor varies from 1.1 to 4.8 times the radius of the sun.
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From the light and velocity curves of an eclipsing spectroscopic binary star system, it is
determined that the orbital period is 6.31 yr and the maximum radial velocities of stars A and B
are 5.4 km/s and 22.4 km/s, respectively. Furthermore, the time period between first contact
and minimum light (tp-ta) is 0.58 d and the length of the primary minimum (tc-tb) is 0.64 d. From
this information, assuming circular orbits, find:
a) the ratio of stellar masses.
b) the sum of masses (i ~ 90°).
c) the individual masses.
d) the individual radii.
velocity curve for a double line
spectroscopic binary is shown in the sketch.
The system is viewed edge-on, i.e., with an
inclination angle of i 90°, so that the
maximum possible Doppler shifts for this
system are observed.
400
SPo
= , Ain i
300
200
l0o = v Ain i
100
-100
-200
-300
400
0 1 2 3 4
10
Time (days)
Find the speed of star 2 in km/s.
Doppler Velocity
(2esu)
A star has initially a radius of 660000000 m and a period of rotation about its axis of 34
days. Eventually it changes into a neutron star with a radius of only 35000 m and a period of
0.2 s. Assuming that the mass has not changed, find
Assume a star has the shape of a sphere.
(Suggestion: do it with formula first, then put the numbers in)
[Recommended time : 5-8 minutes]
(a) the ratio of initial to final angular momentum (Li/Lf)
Oa. 5.22E+15
Ob. 24.2
Oc. 0.0413
Od. 1.91E-16
(b) the ratio of initial to final kinetic energy
Oa. 1.3E-23
Activate V
Go to Setting
Ob. 607000
Oc. 1.65E-6
e here to search
Chapter 21 Solutions
Universe
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